The phrase "record myself" is grammatically correct and can be used in written English.
Here is an example sentence: "I want to record myself singing my favorite song and share it with my friends."
The most important part of the work was to record myself receiving my injection.
She had me record myself speaking so I could identify the areas that I needed to work on.
"I built the record myself, but I allowed those people to come in and change the scene".
In order to even get through it I had to record myself reading it aloud in a series of Snapchats and watch them back.
I bought it for the random bits of journalism I do, because I'm a lousy note taker with illegible penmanship, but I ended up using it even more to record myself.
I'm going to start recording myself again.
I reviewed about 100 of these records myself, as a physician.
Recorded myself for half an hour being tested for HIV and getting the results.
I recorded myself performing music box interpretations of her songs on my glockenspiel.
I put my cell phone on voice memo and recorded myself singing the first two verses.
